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Finding the Third Proportional to 186,450.29 and 295,706.32

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Solution

The third proportional to 186,450.29 and 295,706.32 is: 468,984.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,450.29 : 295,706.32 = 295,706.32 : x
  2. Step 2: Convert to fraction form
    186,450.29/295,706.32 = 295,706.32/x
  3. Step 3: Cross multiply
    186,450.29x = 295,706.32 × 295,706.32
  4. Step 4: Simplify right side
    186,450.29x = 87,442,227,872.76
  5. Step 5: Solve for x
    x = 87,442,227,872.76/186,450.29
  6. Step 6: Final answer
    x = 468,984.13

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.